Zobrazeno 1 - 10
of 139
pro vyhledávání: '"SHIGERU FURUICHI"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 547 (2024)
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the
Externí odkaz:
https://doaj.org/article/c3740942f58b4074b357e58424bab0ea
Publikováno v:
Axioms, Vol 12, Iss 7, p 712 (2023)
The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces. We demonstrate how these new inequalities can be employed to derive novel A-numer
Externí odkaz:
https://doaj.org/article/21e67f1a05e74162a95ec5052d67eaa9
Autor:
Mustapha Raïssouli, Shigeru Furuichi
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-15 (2021)
Abstract In (Pal et al. in Linear Multilinear Algebra 64(12):2463–2473, 2016), Pal et al. introduced some weighted means and gave some related inequalities by using an approach for operator monotone functions. This paper discusses the construction
Externí odkaz:
https://doaj.org/article/d6f59862a1284794b717d8be146958d6
Autor:
Nicuşor Minculete, Shigeru Furuichi
Publikováno v:
Entropy, Vol 25, Iss 2, p 198 (2023)
Entropy is an important concept in many fields related to communications [...]
Externí odkaz:
https://doaj.org/article/93560ccd4e504364af4e0f9174332bb1
Autor:
Mustapha Raïssouli, Shigeru Furuichi
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-10 (2018)
Abstract Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our functional approach immediately imply tho
Externí odkaz:
https://doaj.org/article/cd9e10cf4daf47e7afd46807f38af3b3
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-20 (2018)
Abstract In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are present
Externí odkaz:
https://doaj.org/article/29172f09a52946938ef405744eff87dd
Autor:
Shigeru Furuichi, Nicuşor Minculete
Publikováno v:
Symmetry, Vol 13, Iss 12, p 2398 (2021)
Refining and reversing weighted arithmetic-geometric mean inequalities have been studied in many papers. In this paper, we provide some bounds for the differences between the weighted arithmetic and geometric means, using known inequalities. We impro
Externí odkaz:
https://doaj.org/article/881be5cfac474b1094032f9799c01231
Autor:
Shigeru Furuichi, Nicuşor Minculete
Publikováno v:
Entropy, Vol 23, Iss 5, p 514 (2021)
We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weig
Externí odkaz:
https://doaj.org/article/95145a558209417a91894a7c5ac41e11
Publikováno v:
Mathematics, Vol 8, Iss 3, p 454 (2020)
In this work, we present a new technique for the oscillatory properties of solutions of higher-order differential equations. We set new sufficient criteria for oscillation via comparison with higher-order differential inequalities. Moreover, we use t
Externí odkaz:
https://doaj.org/article/12ec752a5abc4aa7837b6b21b3fb8c6a
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application,
Externí odkaz:
https://doaj.org/article/e85578b5b5c34b61b37e919d79edbac9